ar X iv : m at h / 03 11 30 1 v 1 [ m at h . N T ] 1 8 N ov 2 00 3 ON THE ESTIMATION OF Z 2 ( s ) Aleksandar
نویسنده
چکیده
Estimates for Z2(s) = ∫∞ 1 |ζ(12 + ix)|4x−s dx (Re s > 1) are discussed, both pointwise and in the mean square. It is shown how these estimates can be used to bound E2(T ), the error term in the asymptotic formula for ∫ T 0 |ζ(12 + it)|4 dt.
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